A complete characterization of coefficients of a.e. convergent orthogonal series and majorizing measures
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Publication:848718
DOI10.1007/s00222-009-0226-2zbMath1192.40004OpenAlexW2027482628MaRDI QIDQ848718
Publication date: 5 March 2010
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.561.6423
almost everywhere convergenceOrthogonal seriesmajorizing measures\(L_{2}\)-spacescoefficient sequences
Convergence and divergence of series and sequences of functions (40A30) General theory of stochastic processes (60G07) General harmonic expansions, frames (42C15) Measures of information, entropy (94A17)
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Some applications of the Menshov-Rademacher theorem ⋮ A complete characterization of coefficients of a.e. convergent orthogonal series and majorizing measures ⋮ An upper bound for the Menchov-Rademacher operator for right triangles ⋮ The complete characterization of a.s. convergence of orthogonal series ⋮ Almost everywhere convergence of ergodic series ⋮ On the convergence of orthogonal series ⋮ On the unconditional almost-everywhere convergence of general orthogonal series ⋮ On orthogonal systems with extremely large \(L_2\)-norm of the maximal operator ⋮ The explicit characterization of coefficients of a.e. convergent orthogonal series
Cites Work
- Regularity of Gaussian processes
- Majorizing measures on metric spaces
- A complete characterization of coefficients of a.e. convergent orthogonal series and majorizing measures
- A theorem on majorizing measures
- Sample boundedness of stochastic processes under increment conditions
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- On Paszkiewicz's example
- A Note on the Men'shov–Rademacher Inequality
- On Talagrand's Admissible Net Approach to Majorizing Measures and Boundedness of Stochastic Processes
- On a construction of majorizing measures on subsets of Rnwith special metrics
- The Generic Chaining
- Uniform bounds under increment conditions
- Some theorems related to almost sure convergence of orthogonal series
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